Modular arithmetic

Results Pearson-R Correlation The data underwent correlational analysis using the Pearson-R coefficient and obtained the following results: Table 1. N E O A C SPS Pearson Correlation .562** -.273** .022 -.294** -.218** Sig. (2-tailed) .000 .000 .676 .000 .000 N 372 372 372 372 372 ** Correlation is significant at the 0.01level (2-tailed) Based on the table above, the independent variables N (.562), E (-.273), A (-.294), and C (-.218) are significantly correlated to the dependent variable,…

Grade-Level Introduction As students are gaining their formal educational experience, the emphasis in mathematics in fourth grade continues to develop and target Number and Operations, Algebraic Reasoning and Algebra, Geometry and Measurement, and Data and Probability. Many essential components addressed in fourth grade will encompass real world experiences that naturally pique the student’s problem solving skills, engage reasoning and communication with others, provide a powerful and positive…

After the data was collected it was formulated into 4 tables relating to Alpha Amplitude, Alpha Frequency, Beta Amplitude and Beta Frequency, the tables can be found in the appendix section below. The tables contain ID numbers to identify the volunteers as well as columns to show the amplitude (μV)/frequency (Hz) of alpha and beta during the four periods of no music (NM1, NM2, NM3, NM4),CL, CH, RL and RH. The percentage increase for all the different types of music compared to no music was…

The city of Duluth, MN is looking to put in new parks around town based on different population and socioeconomic factors. This analysis is based on the block groups in Duluth, MN that come from the source of the census bureau. Then the locating of existing parks came from UMD geodatabase. A buffer of 100 meters was created around these existing park boundaries and then erased (see figure 2) to factor out the areas that already had a park that was within walking distance of households. In…

Lemma: If p > 3 is prime, then either p = 1 (mod 6) or p = 5 (mod 6). Proof: The residue classes modulo 6 partition Z, so any z in Z satisfies a congruence z = n (mod 6) where n is in {0,1,...,5}. z is divisible by 6 if n = 0, 2 if n = 2, 3 if n = 3, and 2 if n = 4. These cases cover the primes z = 2 and z = 3; if z > 3 is prime, it follows that n = 1 or n = 5, i.e., z = 1 (mod 6) or z = 5 (mod 6). Now suppose there are only finitely many primes congruent to 5 modulo 6, say p_1, ...,…

Statistics Robert Chipman BUS308: Statistics for Managers Instructor Edward Kaplan September 25, 2015 Descriptive statistics I can describe the data with the help of descriptive statistics. The data can be described with the help of various types of graphs and central tendency. Measures of central tendency are mean, median and mode. Mean is reliable for normal data. Median is reliable for a data which has outliers. And mode is preferred when data is categorical. There are various…

This lesson was written for fourth grade students with specific learning disabilities during a small group math instruction in a general education classroom. (JB) Objective: Given a worksheet with 20 problems that require multiplying a two digit factor times a two digit factor, the students will answer the worksheet problems with at least 85% accuracy. (JB) Rationale: The students are able to correctly multiply one digit and multidigit factor such as basic multiplication facts, place value…

Goal 1 – Students will be able to estimate and round differences. Goal 2 – Students will be able to subtract 3 and 4 digit numbers Goal 3 – Students will be able to subtract numbers with one or more zero in it. Pre-Assessment Formative Assessment Formative Assessment Formative Assessment Post-Assessment Pre-test Formative Assessment…

To introduce the concept of order of operations to the students I would first write PEMDAS on the board which stands for Parentheses, Exponents, Multiplication, Division, Addition and Subtraction. I would put brackets around M and D, and A and S, to show that they are grouped together in the order of operations. “One misconception by students is that all multiplication should happen before all division because the multiplication comes before division in the acronym. In fact, multiplication and…

The Result With full data sheet of Rampo Valley Reservation park and Harriman State Park, we determine the relative density, frequency, relative frequency, relative dominance and important value. <Table 1> is Ramapo Valley Reservation Park’s table . <Table 2> is Harriman State Park’s table. Relative density is percentage of number of individual of one species by sum of the individuals of all species. Relative frequency is percentage of frequency by sum of the frequencies of all…